Page 31 - 6-Math-10 GEOMETRY

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(ii) Construct an angle of 90° at the point B that will produce
altitude of triangle. (By using a protractor or a pair of

compasses)
(iii) Draw an arc of radius 5 cm from the point C. (Use a pair of

compasses. This arc will cut the produced altitude at any
point A)
(iv) Join the point A and point C.
3ABC is the required triangle.

EXERCISE 10.7

1. Construct the right angled triangles for the following.
(i) Hypotenuse = 8 cm , Base = 4 cm
(ii) Hypotenuse = 9 cm , Base = 6 cm
(iii) Hypotenuse = 5 cm , Altitude = 4 cm
(iv) Hypotenuse = 7.5 cm , Base = 4.5 cm
(v) Hypotenuse = 6.5 cm , Altitude = 3.5 cm
(vi) Hypotenuse = 8.2cm , Altitude=5.8 cm

SUMMARY

• The geometry is an important branch of Mathematics which
deals with the study of points, lines, surfaces and solids.

• A line segment is a part of a line which has two distinct end
points.

• Bisection of a line segment means to divide a line segment into
two equal parts.

• A right bisector can be a line, a ray or a line segment which
divides another line segment into two equal parts.

• A right bisector always crosses the line at a right angle (90°) that
can be checked by using a protractor.

• The two angles of the same measurements are called congruent
angles.

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